Given: BF bisects ?AFC and ?CFD??BFC Prove:?AFB ? ?CFD

Question

 Given: BF bisects ∠AFC and ∠CFD≅∠BFC Prove:∠AFB ≅ ∠CFD  

Answer 1

Have you tried to draw the diagram?

When I do so, I find that D must be collinear with ray FB, and then the claim is obvious.